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Arkhipov, Gennadiĭ Ivanovich

Author ID: arkhipov.gennadii-i Recent zbMATH articles by "Arkhipov, Gennadiĭ Ivanovich"
Published as: Arkhipov, G. I.; Arkhipov, Gennady I.
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 89 Publications since 1974, including 4 Books
3 Contributions as Editor
Biographic References: 9 Publications
Co-Authors: 44 Co-Authors with 81 Joint Publications
1,288 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 247 times in 154 Documents Cited by Year
Trigonometric sums in number theory and analysis. Transl. from the Russian. Zbl 1074.11043
Arkhipov, G. I.; Chubarikov, V. N.; Karatsuba, A. A.
51
2004
Theory of multiple trigonometric sums. (Теория кратных тригонометрических сумм.) Zbl 0638.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
38
1987
Selected works. (Избранные труды.) Zbl 1307.11004
Arkhipov, G. I.
19
2013
Trigonometric integrals. Zbl 0493.10040
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
16
1980
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
9
1987
On Waring’s problem with non-integral exponent. Zbl 0568.10027
Arkhipov, G. I.; Zhitkov, A. N.
9
1984
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
8
1989
Multiple trigonometric sums. Zbl 0441.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
7
1980
Mean-value theorem for the modulus of multiple trigonometric sums. Zbl 0315.10033
Arkhipov, G. I.
6
1975
On a local representation of zero by a form. Zbl 0476.10018
Arkhipov, G. I.; Karatsuba, A. A.
6
1981
An upper bound for the modulus of a multiple trigonometric sum. Zbl 0432.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
5
1977
The index of convergence of the singular integral in Tarry’s problem. Zbl 0432.10021
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
5
1979
Multiple trigonometric sums. Zbl 0489.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1982
On the Hilbert-Kamke problem. Zbl 0539.10016
Arkhipov, G. I.
4
1984
Multiple trigonometric sums and their applications. Zbl 0446.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1980
A multidimensional analogue of Waring’s problem. Zbl 0655.10043
Arkhipov, G. I.; Karatsuba, A. A.
3
1987
On Ingham’s additive divisor problem. Zbl 1150.11037
Arkhipov, G. I.; Chubarikov, V. N.
3
2006
On local representation of zero by a form. Zbl 0496.10010
Arkhipov, G. I.; Karatsuba, A. A.
3
1982
Mehrfache trigonometrische Summen. Zbl 0324.10038
Arkhipov, G. I.; Chubarikov, V. N.
3
1976
On the value of the singular series in the Hilbert-Kamke problem. Zbl 0485.10035
Arkhipov, G. I.
2
1981
On the representation of zero by a form in the field of p-adic numbers. Zbl 0496.10009
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a problem in the theory of congruences. Zbl 0508.10012
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
Peculiar cases of the theory of multiple trigonometric sums. Zbl 0536.10031
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1983
On the Hilbert-Kamke problem. Zbl 0557.10018
Arkhipov, G. I.
2
1985
On the number of summands in Vinogradov’s additive problem and its generalizations. Zbl 1223.11123
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the exceptional set in a Goldbach-type binary problem. Zbl 1146.11325
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
Multiple trigonometric sums. Zbl 0347.10029
Arkhipov, G. I.; Chubarikov, V. N.
2
1977
On arithmetic conditions for solvability of nonlinear systems of diophantine equations. Zbl 0592.10014
Arkhipov, G. I.; Chubarikov, V. N.
2
1985
On the general Stokes formula. Zbl 0885.58008
Arkhipov, G. I.; Sadovnichii, V. A.; Chubarikov, V. N.
2
1995
Explicit estimate of the number of solutions of a system of diophantine equations. Zbl 0402.10016
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1978
Distribution of the fractional parts of polynomials of several variables. Zbl 0405.10032
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1979
Lectures on calculus. University coursebook. 5th corrected ed. (Лекции по математическому анализу. Учебник для вузов.) Zbl 1307.00004
Arkhipov, G. I.; Sadovnichiĭ, V. A.; Chubarikov, V. N.
2
2005
On works of N. G. Chudakov in number theory (on the centenary of his birth). Zbl 1134.01309
Arkhipov, G. I.; Chubarikov, V. N.
1
2004
On a system of Diophantine equations. Zbl 0478.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1980
Refinement of estimates for the Riemann zeta-function in a neighbourhood of the line \(\text{Re }s=1\). Zbl 0827.11050
Arkhipov, Gennady I.; Buriev, Kakhor
1
1993
On the Carlson abscissa in the moment problem for the Riemann zeta-function. Zbl 1219.11120
Arkhipov, G. I.; Bayadilov, E. E.; Chubarikov, V. N.
1
2003
On the distribution of prime numbers in a sequence of the form \([n^c]\). Zbl 0983.11055
Arkhipov, G. I.; Chubarikov, V. N.
1
1999
On Professor A. A. Karatsuba’s works in mathematics. Zbl 0929.11002
Arkhipov, G. I.; Chubarikov, V. N.
1
1997
On the power of a singular set in binary additive problems with prime numbers. Zbl 0915.11050
Arkhipov, G. I.; Buriev, K.; Chubarikov, V. N.
1
1997
Anatolii Alekseevich Karatsuba (on his 60th birthday). Zbl 0918.01027
Arkhipov, G. I.; Blagodatskikh, V. I.; Chubarikov, V. N.; Lupanov, O. B.; Mishchenko, E. F.; Prokhorov, Yu. V.; Shidlovskij, A. B.; Vladimirov, V. S.; Voronin, S. M.
1
1998
On the asymptotics of the number of terms in a multidimensional additive problem with prime numbers. Zbl 0837.11056
Arkhipov, G. I.; Chubarikov, V. N.
1
1993
Multiple trigonometric sums. Zbl 0311.10039
Arkhipov, G. I.
1
1974
On multiple trigonometric sums. Zbl 0319.10046
Arkhipov, G. I.; Chubarikov, V. N.
1
1975
Investigations on the Hilbert-Kamke problem. Zbl 1222.11048
Arkhipov, G. I.
1
2006
On Waring’s problem with nonintegral exponent. Zbl 0586.10028
Arkhipov, G. I.; Zhitkov, A. N.
1
1985
Distribution of fractional parts of polynomials in several variables. Zbl 0416.10038
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
A new estimate of an integral of I. M. Vinogradov. Zbl 0417.10013
Arkhipov, G. I.; Karatsuba, A. A.
1
1979
A sharp estimate for the number of solutions of a system of Diophantine equations. Zbl 0427.10011
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Multiple trigonometric sums and their applications. Zbl 0462.10025
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1981
On the measure of “major arcs” in the Farey partition. Zbl 1315.11014
Arkhipov, G. I.; Chubarikov, V. N.
1
2011
Selected works. (Избранные труды.) Zbl 1307.11004
Arkhipov, G. I.
19
2013
On the measure of “major arcs” in the Farey partition. Zbl 1315.11014
Arkhipov, G. I.; Chubarikov, V. N.
1
2011
On Ingham’s additive divisor problem. Zbl 1150.11037
Arkhipov, G. I.; Chubarikov, V. N.
3
2006
Investigations on the Hilbert-Kamke problem. Zbl 1222.11048
Arkhipov, G. I.
1
2006
Lectures on calculus. University coursebook. 5th corrected ed. (Лекции по математическому анализу. Учебник для вузов.) Zbl 1307.00004
Arkhipov, G. I.; Sadovnichiĭ, V. A.; Chubarikov, V. N.
2
2005
Trigonometric sums in number theory and analysis. Transl. from the Russian. Zbl 1074.11043
Arkhipov, G. I.; Chubarikov, V. N.; Karatsuba, A. A.
51
2004
On works of N. G. Chudakov in number theory (on the centenary of his birth). Zbl 1134.01309
Arkhipov, G. I.; Chubarikov, V. N.
1
2004
On the Carlson abscissa in the moment problem for the Riemann zeta-function. Zbl 1219.11120
Arkhipov, G. I.; Bayadilov, E. E.; Chubarikov, V. N.
1
2003
On the number of summands in Vinogradov’s additive problem and its generalizations. Zbl 1223.11123
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the exceptional set in a Goldbach-type binary problem. Zbl 1146.11325
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the distribution of prime numbers in a sequence of the form \([n^c]\). Zbl 0983.11055
Arkhipov, G. I.; Chubarikov, V. N.
1
1999
Anatolii Alekseevich Karatsuba (on his 60th birthday). Zbl 0918.01027
Arkhipov, G. I.; Blagodatskikh, V. I.; Chubarikov, V. N.; Lupanov, O. B.; Mishchenko, E. F.; Prokhorov, Yu. V.; Shidlovskij, A. B.; Vladimirov, V. S.; Voronin, S. M.
1
1998
On Professor A. A. Karatsuba’s works in mathematics. Zbl 0929.11002
Arkhipov, G. I.; Chubarikov, V. N.
1
1997
On the power of a singular set in binary additive problems with prime numbers. Zbl 0915.11050
Arkhipov, G. I.; Buriev, K.; Chubarikov, V. N.
1
1997
On the general Stokes formula. Zbl 0885.58008
Arkhipov, G. I.; Sadovnichii, V. A.; Chubarikov, V. N.
2
1995
Refinement of estimates for the Riemann zeta-function in a neighbourhood of the line \(\text{Re }s=1\). Zbl 0827.11050
Arkhipov, Gennady I.; Buriev, Kakhor
1
1993
On the asymptotics of the number of terms in a multidimensional additive problem with prime numbers. Zbl 0837.11056
Arkhipov, G. I.; Chubarikov, V. N.
1
1993
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
8
1989
Theory of multiple trigonometric sums. (Теория кратных тригонометрических сумм.) Zbl 0638.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
38
1987
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
9
1987
A multidimensional analogue of Waring’s problem. Zbl 0655.10043
Arkhipov, G. I.; Karatsuba, A. A.
3
1987
On the Hilbert-Kamke problem. Zbl 0557.10018
Arkhipov, G. I.
2
1985
On arithmetic conditions for solvability of nonlinear systems of diophantine equations. Zbl 0592.10014
Arkhipov, G. I.; Chubarikov, V. N.
2
1985
On Waring’s problem with nonintegral exponent. Zbl 0586.10028
Arkhipov, G. I.; Zhitkov, A. N.
1
1985
On Waring’s problem with non-integral exponent. Zbl 0568.10027
Arkhipov, G. I.; Zhitkov, A. N.
9
1984
On the Hilbert-Kamke problem. Zbl 0539.10016
Arkhipov, G. I.
4
1984
Peculiar cases of the theory of multiple trigonometric sums. Zbl 0536.10031
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1983
Multiple trigonometric sums. Zbl 0489.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1982
On local representation of zero by a form. Zbl 0496.10010
Arkhipov, G. I.; Karatsuba, A. A.
3
1982
On the representation of zero by a form in the field of p-adic numbers. Zbl 0496.10009
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a problem in the theory of congruences. Zbl 0508.10012
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a local representation of zero by a form. Zbl 0476.10018
Arkhipov, G. I.; Karatsuba, A. A.
6
1981
On the value of the singular series in the Hilbert-Kamke problem. Zbl 0485.10035
Arkhipov, G. I.
2
1981
Multiple trigonometric sums and their applications. Zbl 0462.10025
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1981
Trigonometric integrals. Zbl 0493.10040
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
16
1980
Multiple trigonometric sums. Zbl 0441.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
7
1980
Multiple trigonometric sums and their applications. Zbl 0446.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1980
On a system of Diophantine equations. Zbl 0478.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1980
The index of convergence of the singular integral in Tarry’s problem. Zbl 0432.10021
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
5
1979
Distribution of the fractional parts of polynomials of several variables. Zbl 0405.10032
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1979
Distribution of fractional parts of polynomials in several variables. Zbl 0416.10038
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
A new estimate of an integral of I. M. Vinogradov. Zbl 0417.10013
Arkhipov, G. I.; Karatsuba, A. A.
1
1979
A sharp estimate for the number of solutions of a system of Diophantine equations. Zbl 0427.10011
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Explicit estimate of the number of solutions of a system of diophantine equations. Zbl 0402.10016
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1978
An upper bound for the modulus of a multiple trigonometric sum. Zbl 0432.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
5
1977
Multiple trigonometric sums. Zbl 0347.10029
Arkhipov, G. I.; Chubarikov, V. N.
2
1977
Mehrfache trigonometrische Summen. Zbl 0324.10038
Arkhipov, G. I.; Chubarikov, V. N.
3
1976
Mean-value theorem for the modulus of multiple trigonometric sums. Zbl 0315.10033
Arkhipov, G. I.
6
1975
On multiple trigonometric sums. Zbl 0319.10046
Arkhipov, G. I.; Chubarikov, V. N.
1
1975
Multiple trigonometric sums. Zbl 0311.10039
Arkhipov, G. I.
1
1974
all top 5

Cited by 159 Authors

29 Chubarikov, Vladimir Nikolaevich
8 Wooley, Trevor D.
7 Ikromov, Isroil A.
5 Wainger, Stephen
4 Karatsuba, Anatoliĭ Alekseevich
4 Stein, Elias Menachem
3 Arkhipov, Gennadiĭ Ivanovich
3 Chakhkiev, Magomed A.
3 Ham, Seheon
3 Korolëv, Maksim Aleksandrovich
3 Kumchev, Angel V.
3 Oskolkov, Konstantin Ilyich
3 Rakhmonov, P. Z.
3 Rakhmonov, Zarullo Khusenovich
2 Anderson, Theresa C.
2 Avdeev, I. F.
2 Bourgain, Jean
2 Glazunov, Mykola Mykhaĭlovych
2 Goryashin, Dmitriĭ Viktorovich
2 Götze, Friedrich
2 Guo, Shaoming
2 Ionescu, Alexandru D.
2 Iosevich, Alex
2 Kolpakova, Ol’ga Viktorovna
2 Lee, Sanghyuk
2 Magyar, Akos
2 Mirek, Mariusz
2 Muranov, Shakhriddin Abdullaevich
2 Roos, Joris
2 Safarov, Akbar R.
2 Saliba, Holem Mansour
2 Sharapova, M. L.
2 Temur, Faruk
2 Ul’yanov, Vladimir Vasil’evich
2 Zhao, Xiaomei
1 Akarsu, Emek Demirci
1 Akramova, Dilshoda Isroil kizi
1 Arias, Darío Mena
1 Arkhipov, A. I.
1 Arkhipova, Lyudmila Gennad’evna
1 Bak, Jong-Guk
1 Balanzario, Eugenio P.
1 Bayramoglu, Mammad
1 Begunts, Aleksandr Vladimirovich
1 Bentkus, Vidmants-Kastytis
1 Berest, Yuri Yu.
1 Bloshanskii, Igor L.
1 Brandolini, Luca
1 Brownawell, W. Dale
1 Brüdern, Jörg
1 Buriev, Kakhor
1 Burlakova, E. A.
1 Cai, Yingchun
1 Chan, Tsz Ho
1 Changa, Maris Evgen’evich
1 Chen, Xianghong
1 Cheng, Raymond
1 Chipchakov, Ivan D.
1 Ciaurri, Óscar
1 Cui, Zhen
1 De Koninck, Jean-Marie
1 Dimitrov, Stoyan Ivanov
1 Dokhov, Rezuan Auesovich
1 Dubickas, Artūras
1 Dutkay, Dorin Ervin
1 El-Mahassni, Edwin D.
1 Fan, Dashan
1 Filimonov, V. P.
1 Ford, Kevin B.
1 Freud, Géza
1 Ganzburg, Michael Iosifovich
1 Gao, Zhi
1 Garaev, Moubariz Z.
1 Gashkov, Igor B.
1 Gashkov, Sergey B.
1 Ghiyasi, Azar
1 Gigante, Giacomo
1 Gillespie, Thomas Alastair
1 Giyasi, Azar K.
1 Gómez, Domingo
1 Grafov, Denis A.
1 Greenleaf, Allan
1 Gressman, Philip T.
1 Gritsenko, Sergeĭ Aleksandrovich
1 Han, Ao
1 Han, Deguang
1 Henriot, Kevin
1 Hu, Bingyang
1 Huang, Jing
1 Hughes, Kevin
1 Izquierdo, Diego
1 Jabbarov, Ilgar Shikar
1 Karatsuba, Ekaterina Anatol’evna
1 Karpushkin, Vladimir N.
1 Kesler, Robert M.
1 Khyzhniak, À. V.
1 Ko, Hyerim
1 Krasil’shchikov, V. V.
1 Kuo, Wentang
1 Kurtova, Liliana Nikolaevna
...and 59 more Authors
all top 5

Cited in 57 Serials

21 Chebyshevskiĭ Sbornik
18 Mathematical Notes
12 Proceedings of the Steklov Institute of Mathematics
11 Moscow University Mathematics Bulletin
9 Doklady Mathematics
6 Journal of Number Theory
4 Advances in Mathematics
4 The Journal of Fourier Analysis and Applications
3 Analysis Mathematica
3 Journal d’Analyse Mathématique
3 Mathematika
3 Transactions of the American Mathematical Society
3 The Journal of Geometric Analysis
2 Theory of Probability and its Applications
2 Acta Mathematica
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Mathematische Annalen
2 Acta Mathematica Hungarica
2 Cybernetics and Systems Analysis
2 Journal of Mathematical Sciences (New York)
2 International Journal of Number Theory
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Siberian Mathematical Journal
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Discrete Mathematics and Applications
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Acta Mechanica Sinica. (English Edition)
1 Potential Analysis
1 Turkish Journal of Mathematics
1 Finite Fields and their Applications
1 Integral Transforms and Special Functions
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 The Ramanujan Journal
1 Annals of Mathematics. Second Series
1 La Gaceta de la Real Sociedad Matemática Española
1 Integers
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Analysis and Mathematical Physics
1 Forum of Mathematics, Pi
1 Concrete Operators
1 Journal of Siberian Federal University. Mathematics & Physics
1 AIMS Mathematics
1 La Matematica

Citations by Year

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